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Finding the Third Proportional to 41,881 and 91,149

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Solution

The third proportional to 41,881 and 91,149 is: 198,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,881 : 91,149 = 91,149 : x
  2. Step 2: Convert to fraction form
    41,881/91,149 = 91,149/x
  3. Step 3: Cross multiply
    41,881x = 91,149 × 91,149
  4. Step 4: Simplify right side
    41,881x = 8,308,140,201
  5. Step 5: Solve for x
    x = 8,308,140,201/41,881
  6. Step 6: Final answer
    x = 198,374.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.